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Popular >

simplify (3x^5)^6

Solution

simplify

(3 x^{5})^{6}

Solution

729 x^{30}

Solution steps

(3 x^{5})^{6}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 x^{5})^{6} = 3^{6} (x^{5})^{6}

= 3^{6} (x^{5})^{6}

3^{6} = 729

= 729 (x^{5})^{6}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{5})^{6} = x^{5 \cdot 6}

= 729 x^{5 \cdot 6}

Multiply the numbers:

5 \cdot 6 = 30

= 729 x^{30}

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Frequently Asked Questions (FAQ)

What is (3x^5)^6 ?
The solution to (3x^5)^6 is 729x^{30}